Show that perfect substitutes are an example of homothetic preferences
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Yes, both are homothetic. Homothetic tastes are tastes such that the MRS is the same along any ray from the origin. ... For perfect complements like sugar and iced tea, it is easy to also see that the slope of the indifference curves does not change along any ray from the origin.
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Adjective. homothetic (not comparable) (mathematics, geometry) for a geometric figure that is the image of another figure under an homothety. (mathematics) of a function of two or more variables in which the ratio of the partial derivatives depends only on the ratio of the variables, not their value.
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